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Finding the Fourth Proportional to 3,771.69, 5,205.17 and 2,178.63

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Solution

The fourth proportional to 3,771.69, 5,205.17 and 2,178.63 is: 3,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.69 : 5,205.17 = 2,178.63 : x
  2. Step 2: Convert to fraction form
    3,771.69/5,205.17 = 2,178.63/x
  3. Step 3: Cross multiply
    3,771.69x = 5,205.17 × 2,178.63
  4. Step 4: Simplify right side
    3,771.69x = 11,340,139.52
  5. Step 5: Solve for x
    x = 11,340,139.52/3,771.69
  6. Step 6: Final answer
    x = 3,006.65

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.